Pith Number

pith:5BQKGOWM

pith:2019:5BQKGOWM2AUHHUHBYKC3BC5H5A

not attested not anchored not stored refs pending

The Betti Numbers of a Determinantal Variety

Mahir Bilen Can

arxiv:1903.06849 v1 · 2019-03-16 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BQKGOWM2AUHHUHBYKC3BC5H5A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:51:04.649592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e860a33accd02873d0e1c285b08ba7e835cd9a40119708f631ac3436b17e7068

Aliases

arxiv: 1903.06849 · arxiv_version: 1903.06849v1 · doi: 10.48550/arxiv.1903.06849 · pith_short_12: 5BQKGOWM2AUH · pith_short_16: 5BQKGOWM2AUHHUHB · pith_short_8: 5BQKGOWM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5BQKGOWM2AUHHUHBYKC3BC5H5A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e860a33accd02873d0e1c285b08ba7e835cd9a40119708f631ac3436b17e7068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1ac0394e045b811192dc463d673639893e725445f5feac712df192765da385",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-16T00:23:28Z",
    "title_canon_sha256": "a85007e281d38bb56b07b9572d2ab7037c1e8b8cf4f8cda139c5f77171dc22eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06849",
    "kind": "arxiv",
    "version": 1
  }
}